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Parametric dynamics of level spacings in quantum chaos. (English) Zbl 0983.81023
Summary: We identify parametric (radial) Bessel-Ornstein-Uhlenbeck stochastic processes as primitive dynamical models of energy level repulsion in irregular quantum systems. Familiar GOE, GUE, GSE and non-Hermitian Ginibre-type (Wigner surmise) level spacing distributions arise as special cases in that formalism, as densities of asymptotic invariant (equilibrium) probability measures.

MSC:
81Q50 Quantum chaos
60K40 Other physical applications of random processes
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